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Finding the Fourth Proportional to 561,663, 842,494.64 and 187,686

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Solution

The fourth proportional to 561,663, 842,494.64 and 187,686 is: 281,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,663 : 842,494.64 = 187,686 : x
  2. Step 2: Convert to fraction form
    561,663/842,494.64 = 187,686/x
  3. Step 3: Cross multiply
    561,663x = 842,494.64 × 187,686
  4. Step 4: Simplify right side
    561,663x = 158,124,448,064.61
  5. Step 5: Solve for x
    x = 158,124,448,064.61/561,663
  6. Step 6: Final answer
    x = 281,529.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.